Implementation of the Bloch operator method for solving the Poisson equation

A necessary ingredient of any computer simulations of charge transfer processes in nanoscale metal oxide semiconductor field-effect transistors (MOSVETs) is solution of the Poisson equation in MOS. Commonly used schemes are based on finite difference grid representation which require large number of the mesh points in order to reduce the intrinsic numerical error. In this work we present a conceptually new algorithm which is numerically cheap compared to conventional methods.